Step-by-step explanation:
ATQ,
Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.
She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
So,
m = 2d .....(1)
m + d = 120 ...(2)
We can also solve the above equations,
Put m = 2d in equation (2)
2d + d = 120
3d=120
d = 40
Put d = 40 in equation (1)
m = 2(40)
m = 80
Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.
Answer: Vector travelling 4 units to the left and 1 unit up, facing northwest.
Step-by-step explanation:
The original shape is ABC, while the translated shape is A'B'C'.
The translation is 4 units to the left and 1 unit up.
The correct vector will display as a vector travelling 4 units across and 1 unit down, facing northwest.
The first attached image travels 4 units across and 1 unit down, and faces the correct direction (northwest).
The second attached image travels 4 units across and 1 unit down, but it faces the wrong direction (southeast).
The third image travels 1 unit across and 2 units down. This is incorrect.
The fourth image travels 1 unit across and 2 units down. This is incorrect.
The correct answer is the first attached image (linked in comments)
25d^2-30d-35d+42=25d^2-65d+42.
Answer: 20 minutes
Step-by-step explanation:
She has 45 mins to complete her writing paper.
She spends: 
minutes to plan her paper.
She spends: 
minutes writing rough drafts.
How much time left does she have?
Simplify the fraction.
So she has approximately,
minutes.
Answer:
x= 1/2
Step-by-step explanation:
13x+7 and 9x+9 with x inserted in both equal 13.5
(if the equation was 13x+7=9x+9)
